Stochastic phase reduction for a general class of noisy limit cycle oscillators.
Stochastic phase reduction for a general class of noisy limit cycle oscillators.
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DOI：
10.1103/physrevlett.102.194102
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发表时间：
2009-05
影响因子：
8.6
通讯作者：
Jun-nosuke Teramae;H. Nakao;G. Bard Ermentrout
中科院分区：
文献类型：
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作者：
Jun-nosuke Teramae;H. Nakao;G. Bard Ermentrout
我们制定了一个相位减少方法的一般类的噪声极限环振荡器，并发现相位方程参数化的噪声相关性和振幅松弛的极限环的时间尺度之间的比率。该方程自然包括先前提出的和互斥的相位方程作为特殊情况。理论的有效性得到了数值验证。利用该方法，我们揭示了噪声及其相关时间如何影响极限环振荡。
We formulate a phase-reduction method for a general class of noisy limit cycle oscillators and find that the phase equation is parametrized by the ratio between time scales of the noise correlation and amplitude relaxation of the limit cycle. The equation naturally includes previously proposed and mutually exclusive phase equations as special cases. The validity of the theory is numerically confirmed. Using the method, we reveal how noise and its correlation time affect limit cycle oscillations.